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Finding the Third Proportional to 456,173,714.88 and 706,672,985.34

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Solution

The third proportional to 456,173,714.88 and 706,672,985.34 is: 1,094,729,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,173,714.88 : 706,672,985.34 = 706,672,985.34 : x
  2. Step 2: Convert to fraction form
    456,173,714.88/706,672,985.34 = 706,672,985.34/x
  3. Step 3: Cross multiply
    456,173,714.88x = 706,672,985.34 × 706,672,985.34
  4. Step 4: Simplify right side
    456,173,714.88x = 499,386,708,214,647,872
  5. Step 5: Solve for x
    x = 499,386,708,214,647,872/456,173,714.88
  6. Step 6: Final answer
    x = 1,094,729,248.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.